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Optimal production rate and production stopping time for perishable seasonal products with ramp-type time-dependent demand

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  • Shibaji Panda
  • Subrata Saha

Abstract

Determination of optimal production rate and production stopping time for perishable seasonal product, which experiences increasing-steady-decreasing type time dependent demand over the sales season, is essential because the product becomes obsolete or its usefulness decreases at the end of the season. In this paper, we develop an inventory model to address this issue by assuming that the demand is a time-dependent ramp-type function and on hand inventory deteriorates at a uniform rate. Length of the season is fixed and production rate depends on demand rate. A small fraction of produced items is defective and is not reworked. Shortages are not allowed. The profit function is formulated and its' concavity is verified. Some interesting results about production rate and production stopping time are derived analytically for better coordination between excessive stock and shortages. A numerical example is presented and sensitivity analysis of the model is carried out.

Suggested Citation

  • Shibaji Panda & Subrata Saha, 2010. "Optimal production rate and production stopping time for perishable seasonal products with ramp-type time-dependent demand," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 2(6), pages 657-673.
    • Handle: RePEc:ids:ijmore:v:2:y:2010:i:6:p:657-673
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    Citations

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    Cited by:

    1. Saha, Subrata & Chatterjee, Debajyoti & Sarkar, Biswajit, 2021. "The ramification of dynamic investment on the promotion and preservation technology for inventory management through a modified flower pollination algorithm," Journal of Retailing and Consumer Services, Elsevier, vol. 58(C).
    2. Asif Iqbal Malik & Biswajit Sarkar, 2020. "Coordination Supply Chain Management Under Flexible Manufacturing, Stochastic Leadtime Demand, and Mixture of Inventory," Mathematics, MDPI, vol. 8(6), pages 1-32, June.
    3. Modak, Nikunja Mohan & Panda, Shibaji & Sana, Shib Sankar, 2016. "Three-echelon supply chain coordination considering duopolistic retailers with perfect quality products," International Journal of Production Economics, Elsevier, vol. 182(C), pages 564-578.

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